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Finding the Fourth Proportional to 677.75, 935.22 and 382.96

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Solution

The fourth proportional to 677.75, 935.22 and 382.96 is: 528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.75 : 935.22 = 382.96 : x
  2. Step 2: Convert to fraction form
    677.75/935.22 = 382.96/x
  3. Step 3: Cross multiply
    677.75x = 935.22 × 382.96
  4. Step 4: Simplify right side
    677.75x = 358,147.18
  5. Step 5: Solve for x
    x = 358,147.18/677.75
  6. Step 6: Final answer
    x = 528.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.